FOURIER INTEGRAL OPERATORS OF INFINITE ORDER ON GEVREY SPACES. APPLICATIONS TO THE CAUCHY PROBLEM FOR HYPERBOLIC OPERATORS.

@inproceedings{Cattabriga1990FOURIERIO,
  title={FOURIER INTEGRAL OPERATORS OF INFINITE ORDER ON GEVREY SPACES. APPLICATIONS TO THE CAUCHY PROBLEM FOR HYPERBOLIC OPERATORS.},
  author={Lamberto Cattabriga and Luisa Zanghirati},
  year={1990}
}
The aim of these lectures is to prove results on the Gevrey wave front set of the solution of the Cauchy problem with data in spaces of Gevrey ultradistributions for hyperbolic operators with characteristics of constant multiplicity. These results are obtained by constructing a parametrix, with ultradistribution kernel, represented by means of Fourier integral operators of infinite order defined on Gevrey spaces.